Question

Evaluate the following limit:

(4+10x) / (10-6x)

Answer 1

as x -> inf

Answer 2

factor out an x and cancel it from the top and the bottom.

Answer 3

multiply everything by 1/x
4/x +10 all over 10/x -6

Answer 4

so will the limit be -10/6 ??

Answer 5

yes, reduce

Answer 6

-5/3

Answer 7

what if the limit is x-> -(inf) ?

Answer 8

you can see it would be the same thing

Answer 9

because one of the terms on the top is positive, another is negative

Answer 10

that's true.. it's the same thanks